Question

it's very urgent please...........(12/5)^3 . 5^6/144 =?

Answer 1

$\frac{ {12}^{3} }{ {5}^{3} } \times \frac{ {5}^{6} }{ {12}^{2} } \\ \\ = {12}^{3 - 2} \times {5}^{6 - 3} \\ \\ = 12 \times {5}^{3} \\ \\ = 12 \times 125 \\ \\ = 1500$


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Answer 2

${( \frac{12}{5} )}^{3} . \frac{ {5}^{6} }{144} \\ \\ = \frac{ {12}^{3} }{ {5}^{3} } \times \frac{ {5}^{6} }{ {12}^{2} } \\ \\ \bf \: Using \: the \: identity \\ \\ \bf \: \frac{ {a}^{m} }{ {b}^{n} } = {a}^{m} \times {b}^{ - n} \\ \\ = {12}^{3} \times {5}^{-3} \times {5}^{6} \times {12}^{-6} \\ \\ \bf \: Another \: identity \: used \\ \\ \bf \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ = {12}^{3 +( - 2)} \times {5}^{ - 3 + 6} \\ \\ = {12}^{1} \times {5}^{3} \\ \\ = 12 × 125 \\ \\ = 1500$